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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 111600bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
111600.bc1 | 111600bb1 | \([0, 0, 0, -31575, 2383625]\) | \(-19102326016/2413071\) | \(-439782189750000\) | \([]\) | \(430080\) | \(1.5438\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 111600bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 111600bb do not have complex multiplication.Modular form 111600.2.a.bb
sage: E.q_eigenform(10)